Study very often takes a dative. There's about twenty common Latin verbs that take an indirect object (dative) when we (as English speakers) would expect a direct object.
Okay, but with legere it would be "Ego litteras Latinas lego." Right? So the case depends also on which verb you use.
I am confused; there was no part about dative in the grammar section. Is this like a trick question?
I agree. The basic theme of this lesson is the Accusative: for the Object of a sentence.
All of a sudden, a Dative is thrown in. If Studeo/Studere takes Dative generally, it should be indicated as such, sic: studeo [+ Dat.]. However, we have yet to be introduced to Dative at all, so this sentence is definitely misplaced here, and should be reserved for later, ie. the Dative lesson.